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Finding the Fourth Proportional to 414,504, 572,015.52 and 235,656

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Solution

The fourth proportional to 414,504, 572,015.52 and 235,656 is: 325,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,504 : 572,015.52 = 235,656 : x
  2. Step 2: Convert to fraction form
    414,504/572,015.52 = 235,656/x
  3. Step 3: Cross multiply
    414,504x = 572,015.52 × 235,656
  4. Step 4: Simplify right side
    414,504x = 134,798,889,381.12
  5. Step 5: Solve for x
    x = 134,798,889,381.12/414,504
  6. Step 6: Final answer
    x = 325,205.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.